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πŸ”— Smoke point of cooking oils

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πŸ”— A function that represents all primes

πŸ”— Mathematics

In number theory, a formula for primes is a formula generating the prime numbers, exactly and without exception. No such formula which is efficiently computable is known. A number of constraints are known, showing what such a "formula" can and cannot be.

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πŸ”— 100 prisoners problem

πŸ”— Mathematics

The 100 prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers in one of 100 drawers in order to survive. The rules state that each prisoner may open only 50 drawers and cannot communicate with other prisoners. At first glance, the situation appears hopeless, but a clever strategy offers the prisoners a realistic chance of survival. Danish computer scientist Peter Bro Miltersen first proposed the problem in 2003.

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πŸ”— Buridan's Ass

πŸ”— Philosophy πŸ”— Philosophy/Logic

Buridan's ass is an illustration of a paradox in philosophy in the conception of free will. It refers to a hypothetical situation wherein an ass that is equally hungry and thirsty is placed precisely midway between a stack of hay and a pail of water. Since the paradox assumes the ass will always go to whichever is closer, it dies of both hunger and thirst since it cannot make any rational decision between the hay and water. A common variant of the paradox substitutes two identical piles of hay for the hay and water; the ass, unable to choose between the two, dies of hunger.

The paradox is named after the 14th-century French philosopher Jean Buridan, whose philosophy of moral determinism it satirizes. Although the illustration is named after Buridan, philosophers have discussed the concept before him, notably Aristotle, who used the example of a man equally hungry and thirsty, and Al-Ghazali, who used a man faced with the choice of equally good dates.

A version of this situation appears as metastability in digital electronics, when a circuit must decide between two states based on an input that is in itself undefined (neither zero nor one). Metastability becomes a problem if the circuit spends more time than it should in this "undecided" state, which is usually set by the speed of the clock the system is using.

πŸ”— Bradley Manning leaked Granai Airstrike "~86-147, mostly women and children"

πŸ”— Military history πŸ”— Military history/Asian military history πŸ”— Military history/South Asian military history πŸ”— Afghanistan

The Granai airstrike, sometimes called the Granai massacre, refers to the killing of approximately 86 to 147 Afghan civilians by an airstrike by a US Air Force B-1 Bomber on May 4, 2009, in the village of Granai (sometimes spelled Garani or Gerani) in Farah Province, south of Herat, Afghanistan.

The United States admitted significant errors were made in carrying out the airstrike, stating "the inability to discern the presence of civilians and avoid and/or minimize accompanying collateral damage resulted in the unintended consequence of civilian casualties".

The Afghan government has said that around 140 civilians were killed, of whom 22 were adult males and 93 were children. Afghanistan's top rights body has said 97 civilians were killed, most of them children. Other estimates range from 86 to 147 civilians killed. An earlier probe by the US military had said that 20–30 civilians were killed along with 60–65 insurgents. A partially released American inquiry stated "no one will ever be able conclusively to determine the number of civilian casualties that occurred". The Australian has said that the airstrike resulted in "one of the highest civilian death tolls from Western military action since foreign forces invaded Afghanistan in 2001".

πŸ”— Fractional Fourier transform

πŸ”— Mathematics

In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier transform. It can be thought of as the Fourier transform to the n-th power, where n need not be an integer β€” thus, it can transform a function to any intermediate domain between time and frequency. Its applications range from filter design and signal analysis to phase retrieval and pattern recognition.

The FRFT can be used to define fractional convolution, correlation, and other operations, and can also be further generalized into the linear canonical transformation (LCT). An early definition of the FRFT was introduced by Condon, by solving for the Green's function for phase-space rotations, and also by Namias, generalizing work of Wiener on Hermite polynomials.

However, it was not widely recognized in signal processing until it was independently reintroduced around 1993 by several groups. Since then, there has been a surge of interest in extending Shannon's sampling theorem for signals which are band-limited in the Fractional Fourier domain.

A completely different meaning for "fractional Fourier transform" was introduced by Bailey and Swartztrauber as essentially another name for a z-transform, and in particular for the case that corresponds to a discrete Fourier transform shifted by a fractional amount in frequency space (multiplying the input by a linear chirp) and evaluating at a fractional set of frequency points (e.g. considering only a small portion of the spectrum). (Such transforms can be evaluated efficiently by Bluestein's FFT algorithm.) This terminology has fallen out of use in most of the technical literature, however, in preference to the FRFT. The remainder of this article describes the FRFT.

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πŸ”— Slop

πŸ”— Technology πŸ”— Internet culture πŸ”— Visual arts πŸ”— Computer graphics πŸ”— Artificial Intelligence

Slop is low-quality mediaβ€”including writing and imagesβ€”made using generative artificial intelligence technology. Coined in the 2020s, the term has a derogatory connotation akin to "spam".

It has been variously defined as "digital clutter", "filler content produced by AI tools that prioritize speed and quantity over substance and quality", and "shoddy or unwanted AI content in social media, art, books and, increasingly, in search results".

Jonathan Gilmore, Professor of Philosophy at the City University of New York, describes the "incredibly banal, realistic style" of AI slop as being "very easy to process".

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  • "Slop" | 2024-12-03 | 35 Upvotes 15 Comments

πŸ”— Ken Leishman

πŸ”— Biography πŸ”— Aviation πŸ”— Aviation/Aviation accident πŸ”— Canada πŸ”— Finance & Investment πŸ”— Aviation/aerospace biography πŸ”— Crime and Criminal Biography πŸ”— Crime and Criminal Biography/Organized crime

Kenneth Leishman (June 20, 1931 – December 14, 1979), also known as the Flying Bandit or the Gentleman Bandit was a Canadian criminal responsible for multiple robberies between 1957 and 1966. Leishman was the mastermind behind the largest gold theft in Canadian history. This record stood for over 50 years, until it was surpassed by the Toronto Pearson airport heist in 2023. After being caught and arrested by the Royal Canadian Mounted Police (RCMP), Leishman managed to escape twice, before being caught and serving the remainder of his various sentences.

In December 1979, while flying a Mercy Flight to Thunder Bay, Leishman's aircraft crashed about 40 miles (64Β km) north of Thunder Bay.